化简(x+y)+(2x+y/1*2)+(3x+y/2*3)+.+(9x+y/8*9)
问题描述:
化简(x+y)+(2x+y/1*2)+(3x+y/2*3)+.+(9x+y/8*9)
答
(x+y)+(2x+y/1*2)+(3x+y/2*3)+.+(9x+y/8*9)
=(x+2x+3x+...+9x)+(y+y/1*2+y/2*3+...+y/8*9)
=(1+9)*9x/2 +[y+(y-y/2)+(y/2-y/3)+(y/3-y/4)+...+(y/8-y/9)]
=45x+(8/9)y